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MACHINE LEARNING TECHNIQUES - LASA

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146<br />

Notice that, if we use the identity function for f and g, we find again the classical Hebbian rule.<br />

Recall that, if the two variables are uncorrelated, we have { 1 2}<br />

independent we have E( f ( y ) f ( y )) E( f ( y )) E( f ( y ))<br />

1 2 1 2<br />

E y , y = 0, and that if they are<br />

= for any given function f. The<br />

network must, thus, converge to a solution that satisfies the later condition.<br />

Figure 6-13: ICA with anti-Hebbian learning applied to two images that have been mixed together. After a<br />

number of iterations the network converges to a correct separation of the two source images.<br />

[DEMOS\ICA\ICA_IMAGE_MIX.M]<br />

© A.G.Billard 2004 – Last Update March 2011

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